Real Algebraic and Analytic Geometry Preprint Server

e-mail: ,

Submission: 2004, May 27.

Abstract:
We obtain new necessary conditions for an n-dimensional semialgebraic subset of R^n to be a polynomial image of R^n. Moreover, we prove that a large family of planar bidimensional semialgebraic sets with piecewise linear boundary are images of polynomial or regular maps, and we estimate in both cases the dimension of their generic fibers. .

Mathematics Subject Classification (2000): 14P10, 14Q99.

Keywords and Phrases: polynomial image, semialgebraic set, exterior boundary, convex polygon.

Full text, 30p.: pdf 307k.